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Finding the Fourth Proportional to 258,395.89, 387,649.74 and 78,466.54

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Solution

The fourth proportional to 258,395.89, 387,649.74 and 78,466.54 is: 117,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,395.89 : 387,649.74 = 78,466.54 : x
  2. Step 2: Convert to fraction form
    258,395.89/387,649.74 = 78,466.54/x
  3. Step 3: Cross multiply
    258,395.89x = 387,649.74 × 78,466.54
  4. Step 4: Simplify right side
    258,395.89x = 30,417,533,829.70
  5. Step 5: Solve for x
    x = 30,417,533,829.70/258,395.89
  6. Step 6: Final answer
    x = 117,716.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.